搜索结果: 1-11 共查到“理论统计学 Nonlinearity”相关记录11条 . 查询时间(0.061 秒)
High dimensional stochastic regression with latent factors, endogeneity and nonlinearity
α-mixing, dimension reduction instrument variables nonstationarity time series
2016/1/20
We consider a multivariate time series model which represents a high dimensional vector process as a sum of three terms: a linear regression of some observed regressors,a linear combination of some la...
Solitons in triangular and honeycomb dynamical lattices with the cubic nonlinearity
Stability in two-dimensional discrete nonlinear schrodinger equation lattice discrete soliton
2014/12/29
We study the existence and stability of localized states in the discrete nonlinear Schrödinger equation on two-dimensional nonsquare lattices. The model includes both the nearest-neighbor and lon...
Averaging for Solitons with Nonlinearity Management
Average method of nonlinear schrodinger equation the soliton periodic variation nonlinear coefficient and condensate
2014/12/29
We develop an averaging method for solitons of the nonlinear Schrödinger equation with a periodically varying nonlinearity coefficient, which is used to effectively describe solitons in Bose-Eins...
Rich example of geometrically induced nonlinearity: From rotobreathers and kinks to moving localized modes and resonant energy transfer
Mechanical systems linear geometric properties nonlinear dynamic equations nonlinear wave resonance energy transfer
2014/12/29
We present an experimentally realizable, simple mechanical system with linear interactions whose geometric nature leads to nontrivial, nonlinear dynamical equations. The equations of motion are derive...
Motion of discrete solitons assisted by nonlinearity management
Nonlinear coefficient of the discrete nonlinear schrodinger equation the soliton lattice the amplitude
2014/12/25
We demonstrate that time-periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger equation strongly facilitates creation of traveling solitons in the lattice. We ...
Nonlinearity management in higher dimensions
Nonlinear the nonlinear schrodinger equation the schrodinger equation
2014/12/25
In the present paper, we revisit nonlinearity management of the time-periodic nonlinear Schrödinger equation and the related averaging procedure. By means of rigorous estimates, we show that the ...
High-order-mode soliton structures in two-dimensional lattices with defocusing nonlinearity
Discrete soliton self-focusing defocusing nonlinear dipole the structure of vortex solitons
2014/12/25
While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far o...
Nonlinearity Management in Optics: Experiment, Theory, and Simulation
Kerr nonlinear femtosecond pulse optical glass air
2014/12/25
We conduct an experimental investigation of nonlinearity management in optics using femtosecond pulses and layered Kerr media consisting of glass and air. By examining the propagation properties over ...
From Feshbach-resonance managed Bose-Einstein condensates to anisotropic universes: Applications of the Ermakov-Pinney equation with time-dependent nonlinearity
Two-dimensional condensate time-varying magnetic confinement scattering wave function ordinary differential equations
2014/12/25
In this work we revisit the topic of two-dimensional Bose–Einstein condensates under the influence of time-dependent magnetic confinement and time-dependent scattering length. A moment approach reduce...
Modulational instability in nonlinearity-managed optical media
Numerical simulation of the instability cubic nonlinear optical dielectric glass air
2014/12/25
We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. ...
Averaging of nonlinearity management with dissipation
Optics atomic physics nonlinear partial differential equation the dynamic model of the nonlinear schrodinger
2014/12/24
Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schrödinger...